Be very careful if you decide to cut the tablecloth into smaller pieces. I am thinking that if it was crocheted (Is that a word?), it will unravel if cut. Many tablecloths of that era were crochet. I would try getting the stains out. "Grandma's Stain Remover" works great. I got my bottle at my favorite LQS.
Sue

just a few thoughts on the "old" lace tablecloths...........I have a stash of them, along with hand embroidered tablecloths made for me by an dear now departed aunt, doilies crocheted by my mom, hand embroidered dresser scarves from antique stores, along with pillow cases....not to mention my "silverware" and "good china and crystal".....and as I grow older I am beginning to realize
these "things" will not be treasured by those who have to go thru my stuff......what to do............I still use these things at family gatherings, but will all this be given to "Goodwill", probably so.

Oh, please find a way to clean them. I did see a link in later messages. Then use the clothes for special or even not so special occasions. Much like our quilts, table linens were made to be used. Gentle, loving use will honor the maker and the intent of the makers. What a gift that you have. Heritage is our special connection to our past.